Acta mathematica scientia,Series B ›› 1993, Vol. 13 ›› Issue (4): 457-461.

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A CLASSICAL INTEGRABLE NEUMANN SYSTEM

Mu Weihua1, Cao Cewen2, Geng Xianguo2   

  1. 1. Shijiazhuany Railway Institute. Shijiazhuang 050043, China;
    2. Dept. of Math., Zhengzhou Univ., Zhengzhou, 450052, China
  • Received:1989-11-01 Online:1993-12-25 Published:1993-12-25

Abstract: Under an algebraic constraint between the potentials and the eigeufunctions, the Jaulent-Miodek eigenvalue problem is nonlinearized to be a completely integrable C. Neumann system (M2N-2, dpdq|M2N-3, H) in Liouville sense with the Hamiltonian function.

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